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4 years ago

HAL SPENT 3/4 HOUR READING EACH DAY FOR 7 DAYS. HOW MUCH TOTAL TIME DID HE SPEND READING?

Mathematics

1 answer:

jasenka [17]4 years ago

4 0

It’s 315 hours because 60 divided by 4 equals 15 then multiply 15 and 3 equals 45 then multiply 45 and 7

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Solve the following inequality. Then place the correct number in the box provided. 3x + 5 < 6x - 1

HACTEHA [7]

The answer would be x>2

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4 years ago

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A woman is emptying her aquarium at a steady rate with a small pump. The water pumped to a 12-in.-diameter cylindrical bucket, a

Temka [501]

Answer:

Therefore the rate at which water level is dropping is $\frac{11}{21}$ in per minute.

Step-by-step explanation:

Given that,

The diameter of cylindrical bucket = 12 in.

Depth is increasing at the rate of = 4.0 in per minutes.

i.e $\frac{dh_1}{dt}=4$

$h_1$ is depth of the bucket.

The volume of the bucket is V = $\pi r^2 h$

$=\pi \times 6^2\itimes h_1$

$\therefore V=36\pi h_1$

Differentiating with respect yo t,

$\frac{dV}{dt}=36\pi \frac{dh_1}{dt}$

Putting $\frac{dh_1}{dt}=4$

$\therefore\frac{dV}{dt}=36\pi\times 4$

The rate of volume change of the bucket = The rate of volume change of the aquarium .

Given that,The aquarium measures 24 in × 36 in × 18 in.

When the water pumped out from the aquarium, the depth of the aquarium only changed.

Consider h be height of the aquarium.

The volume of the aquarium is V= ( 24× 36 ×h)

V= 24× 36 ×h

Differentiating with respect to t

$\frac{dV}{dt}=24\times 36 \times \frac{dh}{dt}$

Putting $\frac{dV}{dt}=36\pi\times 4$

$36\pi\times 4= 24\times 36\times \frac{dh}{dt}$

$\Rightarrow \frac{dh}{dt}=\frac{36\pi \times 4}{24\times 36}$

$\Rightarrow \frac{dh}{dt}=\frac{11}{21}$

Therefore the rate at which water level is dropping is $\frac{11}{21}$ in per minute.

7 0

4 years ago

Need the answer for my sister at 4:40pm!!!!!!!<br> Find the mean and mode of: 120, 205, 90, 205, 85

Natalka [10]

The mode is the most frequent number which is 205 and the mean is all the numbers divided by the amount of number which is 123.

4 0

3 years ago

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Which other number is the same number of steps from 0 as -3?

vazorg [7]

Answer:

Step-by-step explanation:

The absolute value means spaces away from zero. -3 is 3 spaces away and 3 is also 3 spaces away. Hope this helps!

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3 years ago

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Someone be a g and answer this!

sineoko [7]

Y= 8.50x + 2.99 I hope this helps

4 0

3 years ago